Generalized Sasakian Structures from a Poisson Geometry Point of View

In this paper we define a canonical Poisson structure on a normal generalized contact metric space and use this structure to define a generalized Sasakian structure. We show also that this canonical Poisson structure enables us to distinguish generalized Sasakian structures from generalized coK\"ahler structures.Comment: 13 pages. More details and examples adde

Nontoric Hamiltonian Circle Actions On Four-Dimensional Symplectic Orbifolds

We construct four-dimensional symplectic orbifolds admitting Hamiltonian circle actions with isolated fixed points, but not admitting any Hamiltonian action of a two-torus. One example is linear, and one example is compact

On Products Of Generalized Geometries

In this paper we address what generalized geometric structures are possible on products of spaces that each admit generalized geometries. In particular we consider, first, the product of two odd dimensional spaces that each admit a generalized almost contact structure, and then subsequently, the product of an odd dimensional space that admits a generalized almost contact structure and an even dimensional space that admits a generalized almost complex structure. We also draw attention to the relationship of the Courant bracket to the classical notion of normality for almost contact structures

The Existence Of Non-Minimal Solutions Of The Yang-Mills-Higgs Equations Over R³ With Arbitrary Positive Coupling Constant

This paper proves the existence of a non-trivial critical point of the SU(2) Yang-Mills-Higgs functional on R3 with arbitrary positive coupling constant. The critical point lies in the zero monopole class but has action bounded strictly away from zero